(adsbygoogle = window.adsbygoogle || []).push({}); Finding derivative question plz....

How should I find the derivative of y = x^(e^x)?

I tried using the chain rule along with the power rule, coming out to:

(e^x) (e^x) (X^(e^x - 1))

If I had took the natural log of both sides and then used implicit differentiation, I would have gotten as a derivative:

(x^(e^x)) (e^x) (1/x + ln x)

which is the correct answer according to my TI89.

Why wouldn't the first method work? Or was there any flaw?

By the way I just started Calculus as a high schooler.

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Finding derivative question

**Physics Forums | Science Articles, Homework Help, Discussion**